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Scale 3359: "Bonyllic"

Scale 3359: Bonyllic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Bonyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,8,10,11}
Forte Number8-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3863
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3359 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3727
Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
3rd mode:
Scale 3911
Scale 3911: Katyryllic, Ian Ring Music TheoryKatyryllic
4th mode:
Scale 4003
Scale 4003: Sadyllic, Ian Ring Music TheorySadyllic
5th mode:
Scale 4049
Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic
6th mode:
Scale 509
Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
7th mode:
Scale 1151
Scale 1151: Mythyllic, Ian Ring Music TheoryMythyllic
8th mode:
Scale 2623
Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic

Complement

The octatonic modal family [3359, 3727, 3911, 4003, 4049, 509, 1151, 2623] (Forte: 8-2) is the complement of the tetratonic modal family [23, 1793, 2059, 3077] (Forte: 4-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3359 is 3863

Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3359 is chiral, and its enantiomorph is scale 3863

Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic

Transformations:

T0 3359  T0I 3863
T1 2623  T1I 3631
T2 1151  T2I 3167
T3 2302  T3I 2239
T4 509  T4I 383
T5 1018  T5I 766
T6 2036  T6I 1532
T7 4072  T7I 3064
T8 4049  T8I 2033
T9 4003  T9I 4066
T10 3911  T10I 4037
T11 3727  T11I 3979

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3343Scale 3343, Ian Ring Music Theory
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
Scale 3487Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
Scale 3103Scale 3103, Ian Ring Music Theory
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3871Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.